Stability analysis of PE systems via Steklov's averaging technique

The paper presents a novel approach to justification of asymptotic stability of linear time-varying systems with persistently excited right-hand side. This approach combines the direct Lyapunov method with the Steklov averaging technique; its distinguishing feature is closed-form construction of the Lyapunov functional, along with resultant explicit estimates of the rate of convergency. (C)2016 The Authors. International Journal of Adaptive Control and Signal Processing published by John Wiley & Sons, Ltd.